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Advances in Nonlinear and Convex Analysis

This special issue belongs to the section “Mathematical Analysis“.

Special Issue Information

Dear Colleagues,

Nonlinear and convex analysis is a rapidly growing area of mathematics, with numerous applications in optimization, control theory, machine (deep) learning, economics, engineering, management and other disciplines. In recent years, with the tool of nonlinear analysis, various reformulations for optimization problems and techniques in analyzing the convergence of algorithms have found new directions. This issue is devoted to the publication of original articles of current interest in every theoretical, computational and applicational aspect of nonlinear analysis, variational analysis, convex analysis, multivalued analysis, non-smooth analysis, fixed point theory and optimization theory, as well as their applications to science, engineering, economics, management, healthcare and other disciplines.

The purpose of this Special Issue is to pay tribute to the significant contributions and recent advances in theories, methods, and applications, including, but not limited to, the following fields:

  • Nonlinear, convex, multivalued, variational and nonsmooth analysis;
  • Fixed point, coincidence point and best proximity point theory;
  • Optimization and optimal control theory;
  • Algorithms and numerical analysis for nonlinear problems;
  • Nonlinear and variational methods for ODEs and PDEs;
  • Inverse, ill-posed and perturbed problems;
  • Game theory and dynamical systems;
  • Data mining, machine and deep learning;
  • Applications in engineering, economic, management, medicine and healthcare.

Prof. Dr. Yeong-Cheng Liou
Prof. Dr. Ching-Feng Wen
Prof. Dr. Jen-Chih Yao
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 250 words) can be sent to the Editorial Office for assessment.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Axioms is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • nonlinear analysis
  • convex analysis
  • multivalued analysis
  • variational analysis
  • nonsmooth analysis
  • optimization
  • optimal control
  • fixed point problem
  • variational inequality
  • equilibrium problem
  • iterative method
  • machine (deep) learning
  • data mining

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Axioms - ISSN 2075-1680